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Sindrei [870]
3 years ago
8

A system of linear equations has infinitely many solutions based on inspection. What indicated that the system has infinitely ma

ny solutions?
Mathematics
2 answers:
taurus [48]3 years ago
7 0
The lines are on top of each other and don’t have one specific point where they meet. That’s what I would put
7nadin3 [17]3 years ago
3 0
Same slope and same y- intercept
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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
3 years ago
If the tank is then field to capacity how many half-gallon bottles how many cords will it make?
lukranit [14]

Answer:

Divide 12 by 4 first to figure out how many gallons are in each 1/4 of the tank. 

12/4=3

So if I added another 1/4 to the capacity:

It could hold 15 gallons. 

All you have to do to find how many half bottles can be filled is to times 15 by two since we are filling half gallon bottles.

15x2=30

30 bottles.

6 0
3 years ago
What is they y intercept and why?
Olenka [21]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Step-by-step explanation:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

8 0
3 years ago
Read 2 more answers
3x+8y=15 , 2x−8y=10
faltersainse [42]
I think is should be (5,0)
3 0
3 years ago
Read 2 more answers
Please help!!!!!! ill give you brainliest!
olga2289 [7]

Answer:

The team made x<u><</u>53 points total.

Step-by-step explanation:

1/4+1/10 is 7/20 or 0.35 in decimal form. If they both together scored 21 points then you can add another 7/20 (21 points) and have 14/20 (42 points). You have 6/20 more left. If you can solve what 1/20 could be then you would find the answer. Does this helps?

3 0
3 years ago
Read 2 more answers
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